2872463440 has 160 divisors (see below), whose sum is σ = 8350894080. Its totient is φ = 892684800.

The previous prime is 2872463437. The next prime is 2872463449. The reversal of 2872463440 is 443642782.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2872463393 and 2872463402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872463449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3886591 + ... + 3887329.

It is an arithmetic number, because the mean of its divisors is an integer number (52193088).

Almost surely, 2^2872463440 is an apocalyptic number.

2872463440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2872463440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4175447040).

2872463440 is an abundant number, since it is smaller than the sum of its proper divisors (5478430640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2872463440 is a wasteful number, since it uses less digits than its factorization.

2872463440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The square root of 2872463440 is about 53595.3677102788. The cubic root of 2872463440 is about 1421.5151848965.

The spelling of 2872463440 in words is "two billion, eight hundred seventy-two million, four hundred sixty-three thousand, four hundred forty".